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Morten Nielsen
Morten Nielsen
Professor of Mathematics, Aalborg University
Verified email at math.aau.dk
Title
Cited by
Cited by
Year
Sparse decompositions in unions of bases
R Gribonval, M Nielsen
IEEE Trans. Inform. Theory 49 (12), 3320-3325, 2003
1247*2003
Highly sparse representations from dictionaries are unique and independent of the sparseness measure
R Gribonval, M Nielsen
Applied and Computational Harmonic Analysis 22 (3), 335-355, 2007
1892007
Frame decomposition of decomposition spaces
L Borup, M Nielsen
Journal of Fourier Analysis and Applications 13 (1), 39-70, 2007
1462007
Approximation spaces of deep neural networks
R Gribonval, G Kutyniok, M Nielsen, F Voigtlaender
Constructive approximation 55 (1), 259-367, 2022
1342022
Anisotropic mixed-norm Hardy spaces
G Cleanthous, AG Georgiadis, M Nielsen
The Journal of Geometric Analysis 27, 2758-2787, 2017
952017
On the construction and frequency localization of finite orthogonal quadrature filters
M Nielsen
Journal of Approximation Theory 108 (1), 36-52, 2001
852001
Wavelet transforms for homogeneous mixed-norm Triebel–Lizorkin spaces
AG Georgiadis, J Johnsen, M Nielsen
Monatshefte für Mathematik 183 (4), 587-624, 2017
652017
Molecular decomposition of anisotropic homogeneous mixed-norm spaces with applications to the boundedness of operators
G Cleanthous, AG Georgiadis, M Nielsen
Applied and Computational Harmonic Analysis 47 (2), 447-480, 2019
642019
Beyond sparsity: Recovering structured representations by minimization and greedy algorithms
R Gribonval*, M Nielsen
Advances in computational mathematics 28 (1), 23-41, 2008
632008
Bi-framelet systems with few vanishing moments characterize Besov spaces
L Borup, R Gribonval, M Nielsen
Applied and Computational Harmonic Analysis 17 (1), 3-28, 2004
632004
Banach frames for multivariate α-modulation spaces
L Borup, M Nielsen
Journal of mathematical analysis and applications 321 (2), 880-895, 2006
572006
Pseudodifferential operators on mixed‐norm Besov and Triebel–Lizorkin spaces
AG Georgiadis, M Nielsen
Mathematische Nachrichten 289 (16), 2019-2036, 2016
562016
On the strong uniqueness of highly sparse representations from redundant dictionaries
R Gribonval, M Nielsen
Independent Component Analysis and Blind Signal Separation: Fifth …, 2004
532004
Nonlinear approximation with dictionaries I. Direct estimates
R Gribonval, M Nielsen
Journal of Fourier Analysis and Applications 10, 51-71, 2004
502004
Approximate weak greedy algorithms
R Gribonval, M Nielsen
Advances in Computational Mathematics 14, 361-378, 2001
472001
Some remarks on non-linear approximation with Schauder bases
R Gribonval, M Nielsen
East J. Approx 7 (3), 267-285, 2001
472001
Highly sparse representations from dictionaries are unique and independent of the sparseness measure
R Gribonval, M Nielsen
462003
Discrete decomposition of homogeneous mixed-norm Besov spaces
G Cleanthous, AG Georgiadis, M Nielsen
Functional analysis, harmonic analysis, and image processing: a collection …, 2017
452017
Schauder bases of integer translates
M Nielsen, H Šikić
Applied and Computational Harmonic Analysis 23 (2), 259-262, 2007
452007
Boundedness for pseudodifferential operators on multivariate α-modulation spaces
L Borup, M Nielsen
Arkiv för Matematik 44, 241-259, 2006
432006
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